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Finding the Third Proportional to 126,156,976 and 184,445,916

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Solution

The third proportional to 126,156,976 and 184,445,916 is: 269,666,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,976 : 184,445,916 = 184,445,916 : x
  2. Step 2: Convert to fraction form
    126,156,976/184,445,916 = 184,445,916/x
  3. Step 3: Cross multiply
    126,156,976x = 184,445,916 × 184,445,916
  4. Step 4: Simplify right side
    126,156,976x = 34,020,295,929,079,056
  5. Step 5: Solve for x
    x = 34,020,295,929,079,056/126,156,976
  6. Step 6: Final answer
    x = 269,666,387.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.